论文标题
$ \ bar {d}^{*} k^{*} $分子和新观察的$ x_ {0,1} $状态
Strong decays of $\bar{D}^{*}K^{*}$ molecules and the newly observed $X_{0,1}$ states
论文作者
论文摘要
最近,LHCB合作报告了在$ b^+\ rightarrow d^+d^-k^+$ decay中发现了两个新状态,即$ x_0(2866)$和$ x_1(2904)$。在目前的工作中,我们研究了这些状态是否可以理解为$ d^*\ bar {k}^*$分子,从它们的两体强衰减的角度通过三角图和三体衰减成$ d^**\ bar {k}π$。两种状态与$ d^*\ bar {k}^*$的耦合是从Weinberg的合成条件确定的,而其他相关的耦合是众所周知的。 $ x_0(2866)$获得的强衰减宽度与模型不确定性内的实验值的边际协议中,在其波浪函数中提示一个大的$ d^*\ bar {k}^*$组件。另一方面,$ x_1(2904)$的强衰减宽度比实验对应物小得多,实际上将其分配为$ d^*\ bar {k}^*$分子。
Lately, the LHCb Collaboration reported the discovery of two new states in the $B^+\rightarrow D^+D^- K^+$ decay, i.e., $X_0(2866)$ and $X_1(2904)$. In the present work, we study whether these states can be understood as $D^*\bar{K}^*$ molecules from the perspective of their two-body strong decays into $D^-K^+$ via triangle diagrams and three-body decays into $D^*\bar{K}π$. The coupling of the two states to $D^*\bar{K}^*$ are determined from the Weinberg compositeness condition, while the other relevant couplings are well known. The obtained strong decay width for the $X_0(2866)$, in marginal agreement with the experimental value within the uncertainty of the model, hints at a large $D^*\bar{K}^*$ component in its wave function. On the other hand, the strong decay width for the $X_1(2904)$, much smaller than its experimental counterpart, effectively rules out its assignment as a $D^*\bar{K}^*$ molecule.